Skip to main content
Log in

A method for obtaining refinement theorems, with an application to direct products of semigroups

  • Published:
algebra universalis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. N. G. de Bruijn,Gemeenschappelijke representatennsystemen van twee klassenindelingen van een verzameling, Niew Archief voor Wiskunde22 (1947), 48–52.

    Google Scholar 

  2. C. C. Chang,Cardinal and ordinal factorization of relation types, Proceedings of Symposia in Pure Mathematics, vol. 2, Lattice Theory, Amer. Math. Soc. (1961), 123–128.

  3. C. C. Chang, B. Jónsson and A. Tarski,Refinement properties for relational structures, Fund. Math.55 (1964), 249–281.

    MATH  MathSciNet  Google Scholar 

  4. C. C. Chang,Cardinal factorization of finite relational structures, Fund. Math.60 (1967), 251–269.

    MATH  MathSciNet  Google Scholar 

  5. A. H. Clifford and G. B. Preston,The algebraic theory of semigroups, Volume I, Mathematical Surveys, No. 7, Amer. Math. Soc., 1961.

  6. A. L. S. Corner,Additive categories and a theorem of Leavitt, Bull. Amer. Math. Soc.75 (1969), 78–82.

    Article  MATH  MathSciNet  Google Scholar 

  7. Peter Crawley and Bjarni Jónsson, RefRefinements for infinite direct decompositions of algebraic systems, Pacific J. Math.14 (1964), 797–855.

    MATH  MathSciNet  Google Scholar 

  8. Bjarni Jónsson,The unique factorization problem for finite relational structures, Colloq. Math.14 (1966), 1–32.

    MATH  MathSciNet  Google Scholar 

  9. B. Jónsson and A. Tarski,Direct decompositions of finite algebraic systems, Notre Dame Mathematical Lectures, No. 5, 1947.

  10. W. Imrich and W. Dörfler,Über das starke Produkt von endlichen Graphen, Sitzungsberichte der Österreichischen Akademie der Wissenschaften Mathem.=naturw. Klasse, II (about 1971).

  11. László Lovász,Operations with structures, Acta Math. Acad. Sci. Hung.18 (1967), 321–328.

    Article  MATH  Google Scholar 

  12. László Lovász,On the cancellation law among finite relational structures, Periodica Mathematica Hungarica1 (1971), 145–156.

    Article  MATH  MathSciNet  Google Scholar 

  13. Ralph McKenzie,On finite groupoids and K-prime algebras, Trans. Amer. Math. Soc.133 (1968), 115–129.

    Article  MATH  MathSciNet  Google Scholar 

  14. Ralph McKenzie,Cardinal multiplication of structures with a reflexive relation, Fund. Math.70 (1971), 59–101.

    MATH  MathSciNet  Google Scholar 

  15. Ralph Seifert, Jr.,On prime binary relational structures, Fund. Math.70 (1971), 187–203.

    MATH  MathSciNet  Google Scholar 

  16. Ladislav Skula,Prime elements in the semigroup of finite types of partially ordered sets in cardinal multiplication, Spisy přírodovědecké fakulty Univ. J. E. Purkyně v Brně (Czechoslovakian) T4 (1968), 97–102.

    MathSciNet  Google Scholar 

  17. Alfred Tarski,On direct products of Boolean algebras with additional operations, Notices Amer. Math. Soc.13 (1966), 728–729 (Abstract).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

McKenzie, R. A method for obtaining refinement theorems, with an application to direct products of semigroups. Algebra Univ. 2, 324–338 (1972). https://doi.org/10.1007/BF02945043

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02945043

Keywords

Navigation